Earthquake-induced collapse of steel latticed shell: Energy criterion implementation and experimental validation

Abstract The collapse of steel latticed shell (SLS) under earthquake is studied in this paper. Based on the structural energy equilibrium, the properties of the energy components (kinematic, damping-dissipated, deformation-related, and input energy) are analyzed. For a stable SLS, the damping-dissipated energy and the hysteretic energy monotonically increase throughout the dynamic response process. When instability happens, the sum of these two energy components decreases. Based on this observation, a straightforward and easy-to-implement energy criterion is developed for the dynamic instability and collapse of an SLS. The criterion is validated by shaking table tests on a scaled SLS model. The span and rise of the model are 3.6 m and 0.9 m. The model is subjected to the three-dimensional El Centro earthquake record with varied severities. Visible instability (under excitation with PGA = 1.2 g) and collapse (under excitation with PGA = 1.5 g) of the model are well revealed via the energy criterion. Since the criterion is based on the global response status of the SLS, it is more comprehensive and objective than the conventional IDA-based approaches (relying on the subjectively assumed limit-states). Meanwhile, the computation of energy components involved in this proposal can be easily conducted on commercially available codes, for example, ABAQUS. This suits the demand of the engineers.

[1]  Tongxi Yu,et al.  Static and dynamic snap-through behaviour of an elastic spherical shell , 2012 .

[2]  Yang Ding,et al.  A theoretical strut model for severe seismic analysis of single-layer reticulated domes , 2017 .

[3]  Jun Xu,et al.  An Energetic Criterion for Dynamic Instability of Structures Under Arbitrary Excitations , 2015 .

[4]  Feng Fan,et al.  FAILURE MECHANISM OF SINGLE-LAYER CYLINDRICAL RETICULATED SHELLS UNDER EARTHQUAKE MOTION , 2012 .

[5]  Junho Song,et al.  Energy-based seismic collapse criterion for ductile planar structural frames , 2017 .

[6]  Yoshikazu Araki,et al.  Criteria for assessing dynamic collapse of elastoplastic structural systems , 2000 .

[7]  Feng Fan,et al.  Seismic performance evaluation of single-layer reticulated dome and its fragility analysis , 2014 .

[8]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis , 2002 .

[9]  Jie Li,et al.  Effective Energy Criterion for Collapse of Deteriorating Structural Systems , 2017 .

[10]  Feng Fan,et al.  Elasto-plastic instability of single-layer reticulated shells under dynamic actions , 2010 .

[11]  Koichiro Ishikawa,et al.  Evaluation Method for Predicting Dynamic Collapse of Double Layer Latticed Space Truss Structures due to Earthquake Motion , 2000 .

[12]  Ted Krauthammer,et al.  Energy flow in progressive collapse of steel framed buildings , 2012 .

[13]  Koichiro Ishikawa,et al.  Elastic-Plastic Dynamic Buckling Analysis of Reticular Domes Subjected to Earthquake Motion , 1997 .

[14]  Ye Jihong,et al.  Progressive collapse simulation based on DEM for single-layer reticulated domes , 2017 .

[15]  X. Zhi,et al.  Vulnerability and Risk Assessment of Single-Layer Reticulated Domes Subjected to Earthquakes , 2012 .

[16]  Li Zhongxue,et al.  Shaking table tests of two shallow reticulated shells , 2001 .

[17]  Eric B. Williamson,et al.  Dynamic stability of structural systems subjected to base excitation , 1998 .

[18]  Dimitrios Vamvatsikos,et al.  Applied Incremental Dynamic Analysis , 2004 .

[19]  Dionisio Bernal Instability of buildings during seismic response , 1998 .

[20]  C. Uang,et al.  Evaluation of seismic energy in structures , 1990 .

[21]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[22]  Jie Li,et al.  Comparison study of two criteria for identification of structural dynamic stability , 2018, Science China Technological Sciences.

[23]  G. Paulino,et al.  Finite Particle Method for Progressive Failure Simulation of Truss Structures , 2011 .

[24]  Lin Qi,et al.  Dynamic damage criterion and damage mode for single layer lattice shell , 2014 .

[25]  William E. Gates,et al.  Inelastic Dynamic Analysis Of Tubular Offshore Structures , 1977 .

[26]  Jihong Ye,et al.  DEM Algorithm for Progressive Collapse Simulation of Single-Layer Reticulated Domes under Multi-Support Excitation , 2019 .

[27]  Junping Zhang,et al.  Probabilistic seismic demand and capacity models and fragility curves for reticulated structures under far-field ground motions , 2019, Thin-Walled Structures.